Cancellation properties in ideal systems: an \boldsymbole.a.b. not \boldsymbola.b. star operation

2010/02/11 by Marco Fontana, Fontana, Marco, K. Alan Loper +3
Computer Science · Mathematics · #13A15 #13E99 #13F30 #13G05 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #math.AG #msc:13A15 #msc:13E99 #msc:13F30 #msc:13G05

paper · pdf · doi:10.48550/arxiv.1002.2388

minor changes and corrected typos

openalex publication_date 2010/02/11 · arxiv created 2010/02/21 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that Krull's a.b. cancellation condition is a properly stronger condition than Gilmer's e.a.b. cancellation condition for star operations.

Citations

• On w-modules over strong mori domains

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